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theorem proved tactic proof

W_endo_eq_17_iff

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formal statement (Lean)

  63theorem W_endo_eq_17_iff (d : ℕ) (hd : 1 ≤ d) : W_endo d = 17 ↔ d = 3 := by

proof body

Tactic-mode proof.

  64  constructor
  65  · intro h
  66    match d, hd with
  67    | 1, _ => simp [W_endo_at_1] at h
  68    | 2, _ => simp [W_endo_at_2] at h
  69    | 3, _ => rfl
  70    | 4, _ => simp [W_endo_at_4] at h
  71    | d + 5, _ =>
  72      have : 4 ≤ d + 5 := by omega
  73      have := W_endo_gt_17_of_ge_4 (d + 5) this
  74      omega
  75  · intro h; subst h; exact W_endo_at_3
  76
  77/-- Uniqueness: D = 3 is the unique positive dimension with W_endo = 17. -/

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